Smooth output feedback stabilization for nonlinear systems with time-varying powers

Chih Chiang Chen*, Chunjiang Qian*, Xiangze Lin*, Yew-Wen Liang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This paper considers the global asymptotic stabilization problem for a class of nonlinear systems with time-varying powers. With only upper and lower bounds of the time-varying power, a smooth state feedback control law solving the problem is frst developed via the so-called adding a power integrator technique. When the system state is not fully available and the time-varying power is exactly known, a smooth output feedback control law constituted by a nonlinear state observer and a state feedback is constructed for achieving the stabilization task. In both cases, systematic approaches are explicitly presented for designing gains of control law and observer.

Original languageEnglish
Pages (from-to)939-944
Number of pages6
Issue number18
StatePublished - 23 Aug 2016


  • adding a power integrator
  • Global asymptotic stabilization
  • high-order nonlinear systems
  • smooth output feedback
  • time-varying power

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